MHT CET202415 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual
If ⁻¹ x= (0 x 1) and ⁻¹ (2 x 1-x^2 )+ ⁻¹ ( 1 2 x^2-1 )= 2 3 , then is
Options
- A2
- B6
- C3
- D4
Correct answer
B. 6
Step-by-step solution
Given equation is ⁻¹ (2 x 1-x^2 )+ ⁻¹ ( 1 2 x^2-1 )= 2 3 Also, ⁻¹ x= x= and 0 2 [ 0 x 1] Putting x= in the given equation, we get aligned & ⁻¹ (2 1- ^2 )+ ⁻¹ ( 1 2 ^2 -1 )= 2 3 & ⁻¹(2 )+ ⁻¹ ( 1 2 )= 2 3 aligned aligned & ⁻¹( 2 )+ ⁻¹( 2 )= 2 3 & 2 +2 = 2 3 & = 2 12 = 6 aligned